Classical and quantum models in non-equilibrium statistical mechanics: moment methods and long-time approximations

DOI10.3390/E14020291zbMath1300.82018OpenAlexW2009308318MaRDI QIDQ405992

Ramon F. Alvarez-Estrada

Publication date: 8 September 2014

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e14020291

zbMATH Keywords

orthogonal polynomialsequilibrium solutionsapproximate irreversibilityclassical distributionslong-time approximationsnon-equilibrium momentsquantum distributions

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Quantum Brownian motion and generalizations of Hermite polynomials
• Brownian motion, quantum corrections and a generalization of the Hermite polynomials
• The Fokker-Planck equation. Methods of solution and applications.
• On the generators of quantum dynamical semigroups
• Brownian motion in a field of force and the diffusion theory of chemical reactions
• Nonequilibrium quantum anharmonic oscillator and scalar field: high temperature approximations
• Semiclassical Klein–Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential
• Liouville and Fokker–Planck dynamics for classical plasmas and radiation
• On the Quantum Correction For Thermodynamic Equilibrium
• New hierarchy for the Liouville equation, irreversibility and Fokker-Planck-like structures
• The Caldeira–Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
• Is there a ‘canonical’ non-equilibrium ensemble?

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